A decomposition of a graph G is a collection ψ of subgraphs H1,H2, . . . , Hr of G such that every edge of G belongs to exactly one Hi. If each Hi is either an induced path or an induced cycle in G, then ψ is called an induced path decomposition of G. The minimum cardinality of an induced path decomposition of G is called the induced path decomposition number of G and is denoted by πi(G). In this paper we initiate a study of this parameter
ABSTRACT. Expressions for the path polynomials (see Farrell [I]) of chains and cir-cuits are derived...
ABSTRACT. Expressions for the path polynomials (see Farrell [I]) of chains and cir-cuits are derived...
Ph.D.The induced path number p(G) of a graph G is defined as the minimum number of subsets into whic...
A decomposition of a graph G is a collection ψ of graphs H1,H2, . . . , Hr of G such that every edge...
AbstractIn a graph, an induced path is a path v0,v1,…,vr in which a vertex vi is adjacent to another...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
International audienceA decomposition of a graph G is a collection of its edge disjoint sub-graphs s...
A decomposition of a graph G is a collection ψ = {H1,H2,...,Hk} of subgraphs of G such that every ed...
An induced graphoidal cover of a graph G is a collection ψ of (not necessarily open) paths in G such...
Let G be a non-trivial, simple, finite, connected and undirected graph of order n and size m. An ind...
We consider undirected finite graphs that have no loops and no multiple edges. A graph is denoted G ...
This paper deals with the subject of minimal path decomposition of complete bipartite graphs. A path...
ABSTRACT. Expressions for the path polynomials (see Farrell [I]) of chains and cir-cuits are derived...
ABSTRACT. Expressions for the path polynomials (see Farrell [I]) of chains and cir-cuits are derived...
Ph.D.The induced path number p(G) of a graph G is defined as the minimum number of subsets into whic...
A decomposition of a graph G is a collection ψ of graphs H1,H2, . . . , Hr of G such that every edge...
AbstractIn a graph, an induced path is a path v0,v1,…,vr in which a vertex vi is adjacent to another...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
A path-decomposition of a graph is a partition of its edges into subgraphs each of which is a path o...
International audienceA decomposition of a graph G is a collection of its edge disjoint sub-graphs s...
A decomposition of a graph G is a collection ψ = {H1,H2,...,Hk} of subgraphs of G such that every ed...
An induced graphoidal cover of a graph G is a collection ψ of (not necessarily open) paths in G such...
Let G be a non-trivial, simple, finite, connected and undirected graph of order n and size m. An ind...
We consider undirected finite graphs that have no loops and no multiple edges. A graph is denoted G ...
This paper deals with the subject of minimal path decomposition of complete bipartite graphs. A path...
ABSTRACT. Expressions for the path polynomials (see Farrell [I]) of chains and cir-cuits are derived...
ABSTRACT. Expressions for the path polynomials (see Farrell [I]) of chains and cir-cuits are derived...
Ph.D.The induced path number p(G) of a graph G is defined as the minimum number of subsets into whic...
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